Answer:
The distance from the top of the tree to the end of its shadow is 17 m ⇒ 4th answer
Explanation:
The relation between the three sides a, b and c of a right triangle, where c is the hypotenuse and b , c are the legs of the right angle is:
c² = a² + b² ⇒ Pythagoras Theorem
The tall of the tree (T) and its shadow in the ground (S) form two legs of a right triangle and the distance from the top of the tree to the end of the shadow (D) formed the hypotenuse of the triangle
By using Pythagoras Theorem
∵ (D)² = (T)² + (S)²
∵ The tree is 8 m tall
∴ T = 8
∵ It casts a shadow 15 m long on the ground
∴ S = 15
- Substitute them in the formula above
∴ (D)² = (8)² + (15)²
∴ (D)² = 64 + 225
∴ (D)² = 289
- Take √ for both sides
∴ D = 17
The distance from the top of the tree to the end of its shadow is 17 m